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Simplifying 7x2 + -4x + -128 = 0 Reorder the terms: -128 + -4x + 7x2 = 0 Solving -128 + -4x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(32 + -7x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(32 + -7x)' equal to zero and attempt to solve: Simplifying 32 + -7x = 0 Solving 32 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -7x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -7x = 0 + -32 -7x = 0 + -32 Combine like terms: 0 + -32 = -32 -7x = -32 Divide each side by '-7'. x = 4.571428571 Simplifying x = 4.571428571Solution
x = {-4, 4.571428571}
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